Answer
The answer to your question is given below.
Step-by-step explanation:
Pressure (P) = force (F) / Area (A)
P = F/A ........ (1)
Recall:
1. Force (F) = mass (m) × acceleration due to gravity (g)
F = mg
2. Volume (V) = Area (A) × Height (h)
V = Ah
Divide both side by h
A = V/h
Substitute the value of F and A into equation 1.
P = F/A
P = mg ÷ V/h
P = mg × h/V
P = mgh/V.... (2)
Recall:
Density (d) = mass (m) /volume (V)
d = m/V
Replace m/V in equation (2) with d.
P = mgh/V
P = dgh
Where:
P is the pressure.
d is the density.
g is acceleration due to gravity.
h is height.
Pressure = Density × gravity × height